{"id":"https://openalex.org/W2146633155","doi":"https://doi.org/10.2168/lmcs-1(3:3)2005","title":"Almost periodic functions, constructively","display_name":"Almost periodic functions, constructively","publication_year":2005,"publication_date":"2005-12-20","ids":{"openalex":"https://openalex.org/W2146633155","doi":"https://doi.org/10.2168/lmcs-1(3:3)2005","mag":"2146633155"},"language":"en","primary_location":{"id":"doi:10.2168/lmcs-1(3:3)2005","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-1(3:3)2005","pdf_url":"https://lmcs.episciences.org/2263/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/2263/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043123968","display_name":"Bas Spitters","orcid":"https://orcid.org/0000-0002-2802-0973"},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Bas Spitters","raw_affiliation_strings":["Institute for Computing and Information Sciences, Radboud University of Nijmegen","Radboud University Nijmegen#TAB#"],"raw_orcid":"https://orcid.org/0000-0002-2802-0973","affiliations":[{"raw_affiliation_string":"Institute for Computing and Information Sciences, Radboud University of Nijmegen","institution_ids":["https://openalex.org/I145872427"]},{"raw_affiliation_string":"Radboud University Nijmegen#TAB#","institution_ids":["https://openalex.org/I145872427"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043123968"],"corresponding_institution_ids":["https://openalex.org/I145872427"],"apc_list":null,"apc_paid":null,"fwci":0.4125,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.61449677,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"Volume 1, Issue 3","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9099000096321106,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9099000096321106,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.7348448634147644},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.636135458946228},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.6318403482437134},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5690908432006836},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5020859241485596},{"id":"https://openalex.org/keywords/bohr-model","display_name":"Bohr model","score":0.47104907035827637},{"id":"https://openalex.org/keywords/natural-number","display_name":"Natural number","score":0.4487628936767578},{"id":"https://openalex.org/keywords/almost-periodic-function","display_name":"Almost periodic function","score":0.4465918242931366},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4235590696334839},{"id":"https://openalex.org/keywords/periodic-sequence","display_name":"Periodic sequence","score":0.41514983773231506},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.332395076751709},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20753952860832214},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18330833315849304},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16203075647354126},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0818515419960022},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.06359881162643433}],"concepts":[{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.7348448634147644},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.636135458946228},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.6318403482437134},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5690908432006836},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5020859241485596},{"id":"https://openalex.org/C68030841","wikidata":"https://www.wikidata.org/wiki/Q172948","display_name":"Bohr model","level":2,"score":0.47104907035827637},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.4487628936767578},{"id":"https://openalex.org/C162355945","wikidata":"https://www.wikidata.org/wiki/Q1066983","display_name":"Almost periodic function","level":2,"score":0.4465918242931366},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4235590696334839},{"id":"https://openalex.org/C120241303","wikidata":"https://www.wikidata.org/wiki/Q3503302","display_name":"Periodic sequence","level":2,"score":0.41514983773231506},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.332395076751709},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20753952860832214},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18330833315849304},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16203075647354126},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0818515419960022},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.06359881162643433},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":9,"locations":[{"id":"doi:10.2168/lmcs-1(3:3)2005","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-1(3:3)2005","pdf_url":"https://lmcs.episciences.org/2263/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:pure.tue.nl:openaire/cabc573d-c78e-4a21-9692-b1a0b831bea5","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/cabc573d-c78e-4a21-9692-b1a0b831bea5","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Spitters, B A W 2005, 'Almost periodic functions, constructively', Logical Methods in Computer Science, vol. 1, no. 3:3, pp. 355-362. https://doi.org/10.2168/LMCS-1(3:3)2005","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:cs/0512009","is_oa":true,"landing_page_url":"http://arxiv.org/abs/cs/0512009","pdf_url":"https://arxiv.org/pdf/cs/0512009","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:ru:oai:repository.ubn.ru.nl:2066/33277","is_oa":true,"landing_page_url":"http://hdl.handle.net/2066/33277","pdf_url":"http://hdl.handle.net/2066/33277","source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, 1, 1 - 7","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:tue:oai:pure.tue.nl:publications/cabc573d-c78e-4a21-9692-b1a0b831bea5","is_oa":true,"landing_page_url":"https://research.tue.nl/nl/publications/cabc573d-c78e-4a21-9692-b1a0b831bea5","pdf_url":"https://research.tue.nl/nl/publications/cabc573d-c78e-4a21-9692-b1a0b831bea5","source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, 1(3:3), 355 - 362. Technischen Universitat Braunschweig","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:647887","is_oa":false,"landing_page_url":"http://library.tue.nl/csp/dare/LinkToRepository.csp?recordnumber=647887","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:1860-5974","raw_type":"Article / Letter to the editor"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.341.5599","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.341.5599","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/cs/0512009v1.pdf","raw_type":"text"},{"id":"pmh:oai:doaj.org/article:9f8a946af3464ea4ac5fa23789639fc5","is_oa":true,"landing_page_url":"https://doaj.org/article/9f8a946af3464ea4ac5fa23789639fc5","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 1, Issue 3 (2005)","raw_type":"article"},{"id":"pmh:oai:library.tue.nl:647887","is_oa":false,"landing_page_url":"http://repository.tue.nl/647887","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:1860-5974","raw_type":"Article / Letter to the editor"}],"best_oa_location":{"id":"doi:10.2168/lmcs-1(3:3)2005","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-1(3:3)2005","pdf_url":"https://lmcs.episciences.org/2263/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2146633155.pdf","grobid_xml":"https://content.openalex.org/works/W2146633155.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W382810004","https://openalex.org/W1537034681","https://openalex.org/W1974595019","https://openalex.org/W1999462261","https://openalex.org/W2015500481","https://openalex.org/W2038849562","https://openalex.org/W2051195827","https://openalex.org/W2074009310","https://openalex.org/W2082780361","https://openalex.org/W2111811762","https://openalex.org/W2489979378","https://openalex.org/W4239316923","https://openalex.org/W4247743270","https://openalex.org/W4251444040","https://openalex.org/W4302438129"],"related_works":["https://openalex.org/W2062193999","https://openalex.org/W752513169","https://openalex.org/W1555377724","https://openalex.org/W2591063053","https://openalex.org/W1497028617","https://openalex.org/W4320914980","https://openalex.org/W3133520770","https://openalex.org/W4293584481","https://openalex.org/W2023653546","https://openalex.org/W2896532520"],"abstract_inverted_index":{"The":[0],"almost":[1,41,49],"periodic":[2,42,50],"functions":[3,43,51],"form":[4],"a":[5,9,18,25,33],"natural":[6,26],"example":[7],"of":[8,28,36],"non-separable":[10],"normed":[11],"space.":[12],"As":[13],"such,":[14],"it":[15],"has":[16],"been":[17],"challenge":[19],"for":[20,40],"constructive":[21],"mathematicians":[22],"to":[23,48],"find":[24],"treatment":[27],"them.":[29],"Here":[30],"we":[31,45],"present":[32],"simple":[34],"proof":[35],"Bohr's":[37],"fundamental":[38],"theorem":[39],"which":[44],"then":[46],"generalize":[47],"on":[52],"general":[53],"topological":[54],"groups.":[55]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}